Free boundary cluster with Robin condition on the transmission interface

We formulate and study a variational two-phase free boundary problem with Robin condition on the interface between the two phases, and we prove existence and regularity of solutions in dimension two.

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Veröffentlicht in:Calculus of variations and partial differential equations 2025, Vol.64 (1), Article 4
Hauptverfasser: Lo Bianco, Serena Guarino, La Manna, Domenico Angelo, Velichkov, Bozhidar
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container_title Calculus of variations and partial differential equations
container_volume 64
creator Lo Bianco, Serena Guarino
La Manna, Domenico Angelo
Velichkov, Bozhidar
description We formulate and study a variational two-phase free boundary problem with Robin condition on the interface between the two phases, and we prove existence and regularity of solutions in dimension two.
doi_str_mv 10.1007/s00526-024-02864-9
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subjects Analysis
Calculus of Variations and Optimal Control
Optimization
Control
Free boundaries
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Systems Theory
Theoretical
title Free boundary cluster with Robin condition on the transmission interface
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